9514 1404 393
Answer:
Step-by-step explanation:
The tangent of the angle can be found using the identity for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangent of the angle of each vector is the ratio of the j coefficient to the i coefficient.
tan(α) = -2/3
tan(β) = 4/7
tan(α-β) = (-2/3 -4/7)/(1 +(-2/3)(4/7))
= (-14-12)/(21 -8) = -26/13 = -2
Then the magnitude of the angle between the vectors is ...
arctan(2) ≈ 63.43°
Total owed to the business = $100,000
amount that could not be collected = $5000
Fraction of total not collected
Answer:
5 pounds / Make sure to read the explanation so you know how to solve it
Step-by-step explanation:
First thing to do is:
Subtract 90 by 47.10 to find the amount of money she spent

She spent $42.90 on coffee and we know that it costs $8.58 per pound so that means that we should divide 42.90 by the cost per pound:

She bought 5 pounds of coffee
Hope I helped :]
Answer: 24 lemons
Step-by-step explanation: Good luck! :D
8 lemons - 10 cups
16 lemons - 20 cups
24 lemons - 30 cups
They both intercept at a single point, in a consistent system.